New formulas for the Legendre-Fenchel transform.
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Publication:1419731
DOI10.1016/j.jmaa.2003.09.012zbMath1052.49020OpenAlexW1977672020WikidataQ57836402 ScholiaQ57836402MaRDI QIDQ1419731
Jean-Baptiste Hiriart-Urruty, Juan-Enrique Martinez-Legaz
Publication date: 26 January 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.012
Convex programming (90C25) Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15)
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Cites Work
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- Certainty equivalents and information measures: Duality and extremal principles
- Faster than the fast Legendre transform, the linear-time Legendre transform
- On the Lambert \(w\) function
- A fast computational algorithm for the Legendre-Fenchel transform
- Another Proof that Convex Functions are Locally Lipschitz